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On Generalised Statistical Equilibrium and Discrete Quantum Gravity
Paperback
Series: Springer Theses
Astronomy & SpaceChemistryPhysics
ISBN13: 9783030909710
Publisher: Springer Nature
Published: Jan 31 2023
Pages: 180
Weight: 0.64
Height: 0.43 Width: 6.14 Depth: 9.21
Language: English
Absolute concepts of time and energy are integral to standard thermal physics, but background independent systems are devoid of them. This thesis explores the foundational question of generalising equilibrium statistical mechanics to background independent systems, and applies the resulting formulation to non-perturbative discrete quantum gravity. It offers a discussion of the rich interface of thermal physics and quantum gravity in this context, providing a broad contextualisation of such topics. This work details how standard tools from many-body physics can be generalised to discrete quantum gravity labelled with graph-based, or dual polyhedral, quanta that are common to various approaches like tensorial group field theory, loop quantum gravity, dynamical triangulations and lattice quantum gravity. It provides a systematic investigation, both conceptual and technical, of quantum gravitational Gibbs states, thermofield double vacuum states, and their application in condensate cosmology to probe questions of Big Bang singularity resolution and geometric inflation.
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